TY - BOOK AU - Naudts,Jan ED - SpringerLink (Online service) TI - Generalised Thermostatistics SN - 9780857293558 AV - QA1-939 U1 - 510 23 PY - 2011/// CY - London PB - Springer London KW - Mathematics KW - Mathematical physics KW - Thermodynamics KW - Mathematics, general KW - Statistical Physics, Dynamical Systems and Complexity KW - Mathematical Methods in Physics N1 - Parameter estimation -- Statistical Models -- Thermodynamic Equilibrium -- The Microcanonical Ensemble -- Hyperensembles -- The Mean Field Approximation -- q-Deformed Distributions -- Tsallis’ Thermostatistics -- Changes of Scale -- General deformations -- General Entropies N2 - The domain of non-extensive thermostatistics has been subject to intensive research over the past twenty years and has matured significantly. Generalised Thermostatistics cuts through the traditionalism of many statistical physics texts by offering a fresh perspective and seeking to remove elements of doubt and confusion surrounding the area. The book is divided into two parts - the first covering topics from conventional statistical physics, whilst adopting the perspective that statistical physics is statistics applied to physics. The second developing the formalism of non-extensive thermostatistics, of which the central role is played by the notion of a deformed exponential family of probability distributions. Presented in a clear, consistent, and deductive manner, the book focuses on theory, part of which is developed by the author himself, but also provides a number of references towards application-based texts. Written by a leading contributor in the field, this book will provide a useful tool for learning about recent developments in generalized versions of statistical mechanics and thermodynamics, especially with respect to self-study. Written for researchers in theoretical physics, mathematics and statistical mechanics, as well as graduates of physics, mathematics or engineering. A prerequisite knowledge of elementary notions of statistical physics and a substantial mathematical background are required UR - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-85729-355-8 ER -